A section of Geol 101 taught by a new instructor has 100 students. This course i

Question

A section of Geol 101 taught by a new instructor has 100 students. This course is offered so often that an expected grade distribution is well known the Department chair. The new instructor has prepared the final grades and wants to know if the 100 grades she plans to assign are or are not consistent with general practice in the Department. Use the data below as if the 100 grades are a sample and a level of significance of 5%.

Observed Expected

A 15           19.2

B 25    27.6

C 34           29.0

D 23 20.1

F 3    4.1

Explanation / Answer

X^2 = ( observed - expected)^2 / expected

X^2 = (15-19.2)^2 / 19.2 + (25-27.6)^2 / 27.6 ....+ (3-4.1)^2 / 4

X^2 = 2.738

for alpha = 0.05 df = 4 critical value is 9.488

since X2 < criticalvalue we reject Ho

conclusion

the plan to assign are not consistent with general practice in the department

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